Results 51 to 60 of about 1,578,942 (334)
Large multidimensional digital images of cancer tissue are becoming prolific, but many challenges exist to automatically extract relevant information from them using computational tools. We describe publicly available resources that have been developed jointly by expert and non‐expert computational biologists working together during a virtual hackathon
Sandhya Prabhakaran+16 more
wiley +1 more source
Compact Lie Groups, Generalised Euler Angles, and Applications
This is mainly a review of an intense 15-year long collaboration between the authors on explicit realisations of compact Lie groups and their applications.
Sergio Luigi Cacciatori, Antonio Scotti
doaj +1 more source
MET variants in the N‐lobe of the kinase domain, found in hereditary papillary renal cell carcinoma, require ligand stimulation to promote cell transformation, in contrast to other RTK variants. This suggests that HGF expression in the microenvironment is important for tumor growth in such patients. Their sensitivity to MET inhibitors opens the way for
Célia Guérin+14 more
wiley +1 more source
On the Unification of Gauge Symmetries in Theories with Dynamical Symmetry Breaking
We analyze approaches to the partial or complete unification of gauge symmetries in theories with dynamical symmetry breaking. Several types of models are considered, including those that (i) involve sufficient unification to quantize electric charge ...
Neil D. Christensen+2 more
core +1 more source
Abstract Purpose In radiotherapy, body contour inaccuracies may compromise the delineation of adjacent structures and affect calculated dose. Here, we evaluate the un‐editable body contours auto‐generated by Ethos versions 1.0 (v1) and 2.0 (v2) treatment planning softwares for two simulated cases: weight‐loss and bolus application, particularly ...
Abby Yashayaeva+2 more
wiley +1 more source
A Simple Model of Double Dynamics on Lie Groups [PDF]
We study the dynamics of the rigid rotator on the group manifold of SU(2) as an instance of dynamics on Lie groups together with a dual model whose carrier space is the Borel group SB(2,C), the Lie Poisson dual of SU(2). We thus introduce a parent action on the Drinfeldd double of the above mentioned groups, which describes the dynamics of a system ...
openaire +4 more sources
In this article, the investigation into the Lie symmetry algebra of the geodesic equations of the canonical connection on a Lie group was continued. The key ideas of Lie group, Lie algebra, linear connection, and symmetry were quickly reviewed. The focus
Nouf Almutiben +3 more
doaj +1 more source
Classification of harmonic homomorphisms between Riemannian three-dimensional unimodular Lie groups [PDF]
Purpose – The purpose of this study is to classify harmonic homomorphisms ϕ : (G, g) → (H, h), where G, H are connected and simply connected three-dimensional unimodular Lie groups and g, h are left-invariant Riemannian metrics.
Zagane Abdelkader+2 more
doaj +1 more source
From Loop Groups to 2-Groups [PDF]
We describe an interesting relation between Lie 2-algebras, the Kac-Moody central extensions of loop groups, and the group String(n). A Lie 2-algebra is a categorified version of a Lie algebra where the Jacobi identity holds up to a natural isomorphism ...
Baez, John C.+3 more
core +2 more sources
On E-functions of Semisimple Lie Groups
We develop and describe continuous and discrete transforms of class functions on a compact semisimple, but not simple, Lie group $G$ as their expansions into series of special functions that are invariant under the action of the even subgroup of the Weyl
Hrivnák J+10 more
core +1 more source